Quiz about 11 STEM B_GEN MATH Diagnostic Test 2023-24

Question 1

Let R = {(1,2), (3,5), (5,11), (3,1)}. What is the domain of this relation?

Accepted Answer

D = {1,3,5}

Answer

D = {1,2,5,11}

Answer

D = {2, 5,11}

Answer

D= { }

Question 2

Which of the following relations is a function?

Accepted Answer

D = { (1, 2), (2, 4), (3, 6), (4, 8) ,...}

Answer

A = { (1,3), (2, 3), (1,4) }

Answer

B = { (2, 4), (3, 6), (1, 5), (3, 4) }

Answer

C = { (0,4), ( 0,-1), (0, -3) }

Question 3

What type of a polynomial function is : $$f\left(x\right)\ =\ 2x\ -\ 1$$ ?

Accepted Answer

Linear function

Answer

Constant function

Answer

Identity function

Answer

Quadratic function

Question 4

If $$g\left(x\right)\ =\ x^2\ +\ 2x\ -1$$ , find $$f\left(0\right)$$

Accepted Answer

-1

Answer

1

Answer

2

Answer

-2

Question 5

What do you call the set of first coordinates of a set of ordered pairs?

Accepted Answer

Domain

Answer

Function

Answer

Relation

Answer

Range

Question 6

What do you call the set of second coordinates of a set of ordered pairs?

Accepted Answer

Range

Answer

Domain

Answer

Function

Answer

Relation

Question 7

State whether the statement is true or false: $$4^2\ =\ 16\ is\ equivalent\ to\ \log_416\ =\ 2$$

Accepted Answer

True

Answer

False

Question 8

State the domain of the given function: $$f\left(x\right)\ =\ 2x\ -1$$

Accepted Answer

All Real Numbers

Answer

All Real numbers such that $$x\ge0$$

Answer

All Real numbers such that $$x\le0$$

Answer

none of these

Question 9

(True or False). The graph of a quadratic function is always a parabola that either faces upward or downward.

Accepted Answer

True

Answer

False

Question 10

Evaluate the given function: $$f\left(x\right)\ =\frac{x}{4},\ find\ f\left(-8\right)$$

Accepted Answer

$$-2$$

Answer

$$2$$

Answer

$$\frac{1}{2}$$

Answer

$$-\frac{1}{2}$$

Question 11

If $$f\left(x\right)\ =\ 2x\ +3\ and\ g\left(x\right)\ =-x\ +4,\ find\ \left(f+g\right)\left(x\right)$$

Accepted Answer

$$\left(f+g\right)\left(x\right)\ =\ x\ +7$$

Answer

$$\left(f+g\right)\left(x\right)\ =\ 3x\ +7$$

Answer

$$\left(f+g\right)\left(x\right)\ =\ -x+7$$

Answer

$$\left(f+g\right)\left(x\right)\ =\ -3x\ +7$$

Question 12

$$If\ f\left(x\right)\ =\ x^2+2x\ -3\ and\ g\left(x\right)\ =\ x+3,\ find\ \left(\frac{f}{g}\right)\left(x\right)$$

Accepted Answer

$$x-1$$

Answer

$$x-3$$

Answer

$$x+3$$

Answer

$$x+1$$

Question 13

Use a mathematical equation to define a relation whose second component y is 2 more than the first component x.

Accepted Answer

$$y\ =\ x\ +2$$

Answer

$$y\ =\ 2\ -x$$

Answer

$$y\ =\ x\ -2$$

Answer

$$y\ =\ -x\ +\ 2$$

Question 14

Solve the equation: $$64\ =8^{\ x-2}$$

Accepted Answer

$$x\ =\ 4$$

Answer

$$x\ =6$$

Answer

$$x\ =\ 1$$

Answer

$$x=0$$

Question 15

The Vertical Line Test is used to determine if the given graph is a graph of a function or not.

Accepted Answer

True

Answer

False

Question 16

The Horizontal Line Test is used to determine whether the given graph is one-to-one or not.

Accepted Answer

True

Answer

False

Answer

Sometimes true

Answer

none of these

Question 17

All functions are relations but not all functions are relations. This statement is

Accepted Answer

Always true

Answer

Always false

Answer

Sometimes true

Answer

Cannot be determined

Question 18

The function $$f\left(x\right)\ =\ x$$ is a special type of linear function. What do you call this function?

Accepted Answer

Identity function

Answer

Constant function

Answer

X function

Answer

Special function

Question 19

What is the graph of a constant function?

Accepted Answer

horizontal line

Answer

straight slant line

Answer

vertical line

Answer

parabola

Question 20

What is the degree of the polynomial function: $$f\left(x\right)\ =\ 2x^3\ -\ x\ +\ 4$$ ?

Accepted Answer

3

Answer

2

Answer

4

Answer

cannot be determined

Question 21

The graph of a quadratic function is a parabola. If the given function $$f\left(x\right)\ =\ -x^2\ +\ 2x\ +\ 1$$ , the parabola opens __________.

Accepted Answer

downward

Answer

upward

Answer

to the right

Answer

to the left

Question 22

What do you call this type of function?

Accepted Answer

Piecewise function

Answer

Part function

Answer

Probability function

Answer

Plain function

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